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1104894336 = 27372134517
BaseRepresentation
bin100000111011011…
…0101100110000000
32212000001110002110
41001312311212000
54230323104321
6301345415320
736244306200
oct10166654600
92760043073
101104894336
11517758517
1226a03a540
13147ba5640
14a6a54400
1567001176
hex41db5980

1104894336 has 192 divisors, whose sum is σ = 3677471280. Its totient is φ = 291336192.

The previous prime is 1104894319. The next prime is 1104894337. The reversal of 1104894336 is 6334984011.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1104894294 and 1104894303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104894337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242350 + ... + 246866.

Almost surely, 21104894336 is an apocalyptic number.

1104894336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104894336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838735640).

1104894336 is an abundant number, since it is smaller than the sum of its proper divisors (2572576944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1104894336 is a wasteful number, since it uses less digits than its factorization.

1104894336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1104894336 is about 33239.9509024908. The cubic root of 1104894336 is about 1033.8088581631.

The spelling of 1104894336 in words is "one billion, one hundred four million, eight hundred ninety-four thousand, three hundred thirty-six".